Q69.If the common tangents to the parabola, x2 = 4y and the circle, x2 + y2 = 4 intersect at the point P , then the distance of P from the origin (units), is: + (1) 2(3 2√2) (2) 3 + 2√2 + (3) √2 + 1 (4) 2(√2 1) JEE Main 2017 (08 Apr Online) JEE Main Previous Year Paper
What This Question Tests
This problem tests the ability to find common tangents between a parabola and a circle, determine their intersection point, and then calculate its distance from the origin.
Concepts Tested
Formulas Used
Tangent to x²=4ay: y=mx-am²
Distance from origin to tangent = r
Distance formula
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📋 Question Details
- Chapter
- Conic Sections
- Topic
- Common tangents to parabola and circle
- Year
- 2017
- Shift
- 08 Apr Online
- Q Number
- Q69
- Type
- Multi concept
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections